Tessellations

Investigate which regular polygons tessellate.

Demonstrate your results for equilateral triangles, squares, pentagons, hexagons and octagons (as a minimum). Diagrams should be drawn accurately by hand where possible.

Do you think that a regular heptagon would tessellate?

Are there properties of these shapes which determine whether they tessellate or not?

Research some of the following and present examples:

Daisy Designs
Tumbling Block Designs
Tessellations with other non regular geometric shapes, for example a triangle
Tessellations using translations
Tessellations using rotations
Tessellations using reflections
Tessellations using capital letters
Semi regular tessellations
Mauritis Cornelis Escher
Tessellations in 3-d (in nature)
Tangrams
Wall Paper patterns
Maori symbols that tessellate
Kow haiw hai
Tukutuku patterns
Taniko